Question

racionalize:

a) 20/3√10
b) 2√3)5√2
c) 7√3/2√7​

Answer 1

Explicação passo-a-passo:

.

$\dfrac{20}{3 \sqrt{10} }$

$\dfrac{20}{3 \sqrt{10} } \times \dfrac{ \sqrt{10} }{ \sqrt{1 0 } }$

$\dfrac{20 \sqrt{10} }{3 \sqrt{10} \sqrt{10} }$

$\dfrac{20 \sqrt{10} }{3 \times 10}$

$\dfrac{20 \sqrt{10} }{30}$

$\dfrac{2 \sqrt{1 0 } }{3}$

.

$\dfrac{2 \sqrt{3} }{5 \sqrt{2} }$

$\dfrac{2 \sqrt{3} }{5 \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\dfrac{2 \sqrt{3} \sqrt{2} }{5 \sqrt{2} \sqrt{2} }$

$\dfrac{2 \sqrt{6} }{5 \times 2}$

$\dfrac{2 \sqrt{6} }{10}$

$\dfrac{ \sqrt{} 6}{5}$

.

$\dfrac{7 \sqrt{3} }{2 \sqrt{7} }$

$\dfrac{7 \sqrt{3} }{2 \sqrt{7} } \times \dfrac{ \sqrt{7} }{ \sqrt{7} }$

$\dfrac{7 \sqrt{3} \sqrt{7} }{2 \sqrt{7} \sqrt{7} }$

$\dfrac{7 \sqrt{21} }{2 \times 7}$

$\dfrac{7 \sqrt{21} }{14}$

$\dfrac{ \sqrt{21} }{2}$